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797000880 = 243513467547
BaseRepresentation
bin101111100000010…
…100010010110000
32001112200211200010
4233200110102300
53113013012010
6211030254520
725515252504
oct5740242260
92045624603
10797000880
11379982615
121a2ab7440
13c9172a70
1477bc8304
1549e83620
hex2f8144b0

797000880 has 160 divisors (see below), whose sum is σ = 2671329024. Its totient is φ = 195406848.

The previous prime is 797000879. The next prime is 797000887. The reversal of 797000880 is 88000797.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (797000887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456767 + ... + 1457313.

Almost surely, 2797000880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335664512).

797000880 is an abundant number, since it is smaller than the sum of its proper divisors (1874328144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

797000880 is a wasteful number, since it uses less digits than its factorization.

797000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 797000880 is about 28231.2040125815. The cubic root of 797000880 is about 927.1562572249.

The spelling of 797000880 in words is "seven hundred ninety-seven million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 467 520 547 624 780 934 1040 1094 1401 1560 1641 1868 2188 2335 2735 2802 3120 3282 3736 4376 4670 5470 5604 6071 6564 7005 7111 7472 8205 8752 9340 10940 11208 12142 13128 14010 14222 16410 18213 18680 21333 21880 22416 24284 26256 28020 28444 30355 32820 35555 36426 37360 42666 43760 48568 56040 56888 60710 65640 71110 72852 85332 91065 97136 106665 112080 113776 121420 131280 142220 145704 170664 182130 213330 242840 255449 284440 291408 341328 364260 426660 485680 510898 568880 728520 766347 853320 1021796 1277245 1457040 1532694 1706640 2043592 2554490 3065388 3320837 3831735 4087184 5108980 6130776 6641674 7663470 9962511 10217960 12261552 13283348 15326940 16604185 19925022 20435920 26566696 30653880 33208370 39850044 49812555 53133392 61307760 66416740 79700088 99625110 132833480 159400176 199250220 265666960 398500440 797000880